Full paper

  1. Learning performance in inverse Ising problems with sparse teacher couplings  
    Alia Abbara, Yoshiyuki Kabashima,
    Tomoyuki Obuchi, Yingying Xu
    arXiv: arXiv:1912.11591

  2. Empirical Bayes method for Boltzmann machines  
    Muneki Yasuda,
    Tomoyuki Obuchi
    J. Phys. A: Math. Theor. 53 (2020) 014004(1-20) IOP
    arXiv: arXiv:1906.06002

  3. Cross validation in sparse linear regression with piecewise continuous nonconvex penalties and its acceleration
    Tomoyuki Obuchi,
    Ayaka Sakata
    J. Phys. A: Math. Theor. 52 (2019) 414003(1-30) IOP
    arXiv: arXiv:1902.10375
    A matlab package is available from here

  4. Semi-Analytic Resampling in Lasso  
    Tomoyuki Obuchi, Yoshiyuki Kabashima
    Journal of Machine Learning Research (2019) 20(70): (1-33) JMLR
    arXiv: arXiv:1802.10254
    A matlab package is available from here

  5. Perfect reconstruction of sparse signals with piecewise continuous nonconvex penalties and nonconvexity control 
    Ayaka Sakata, Tomoyuki Obuchi
    arXiv: arXiv:1902.07436

  6. Accelerating Cross-Validation in Multinomial Logistic Regression with L1-Regularization  
    Tomoyuki Obuchi, Yoshiyuki Kabashima
    Journal of Machine Learning Research (
    2018) 19(52): (1-30)  JMLR
    arXiv: arXiv:1711.05420
    A matlab package is available from here
    A python package is available from here

  7. Statistical mechanical analysis of sparse linear regression as a variable selection problem  
    Tomoyuki Obuchi, Yoshinori Nakanishi-Ohno, Masato Okada, Yoshiyuki Kabashima
    J. Stat. Mech. (2018) 103401 (1-41) IOP
    arXiv: arXiv:1805.11259

  8. Objective Procedure for Reconstructing Couplings in Complex Systems  
    Yu Terada, Tomoyuki Obuchi, Takuya Isomura, Yoshiyuki Kabashima
    arXiv: arXiv:1803.04738

  9. Accelerating cross-validation with total variation and its application to super-resolution imaging 
    Tomoyuki Obuchi, Shiro Ikeda, Kazunori Akiyama, Yoshiyuki Kabashima
    PLoS ONE 12(12): e0188012 PONE
    arXiv: arXiv:1611.07197
    A matlab
    package is available from here

  10. Complex semiclassical analysis of the Loschmidt amplitude and dynamical quantum phase transitions 
    Tomoyuki Obuchi, Sei Suzuki, Kazutaka Takahashi
    Phys. Rev. B 95 (2017) 174305 (1-11) PRB
    arXiv: arXiv:1702.05396

  11. Random versus maximum entropy models of neural population activity 
    Ulisse Ferrari, Tomoyuki Obuchi, Thierry Mora
    Phys. Rev. E 95 (2017) 042321 (1-5) PRE
    arXiv: arXiv:1612.02807

  12. Relative species abundance of replicator dynamics with sparse interactions
    Tomoyuki Obuchi, Yoshiyuki Kabashima, and Kei Tokita
    J. Stat. Mech. (2016) 113502 (1-28) IOP

    arXiv: arXiv:1605.09490

  13. Boltzmann-machine learning of prior distributions of binarized natural images 
    Tomoyuki Obuchi, Hirokazu Koma, and Muneki Yasuda
    J. Phys. Soc. Jpn. (2016) 85 114803 (1-17) JPSJ
    arXiv: arXiv:1412.7012


  14. Multiple peaks of species abundance distributions induced by sparse interactions  
    Tomoyuki Obuchi, Yoshiyuki Kabashima, and Kei Tokita
    Phys. Rev. E
    94 (2016) 022312 (1-5) PRE
    arXiv: arXiv:1605.09106

  15. Cross validation in LASSO and its acceleration
    Tomoyuki Obuchi and Yoshiyuki Kabashima
    J. Stat. Mech. (2016) 053304 (1-36) IOP 
    arXiv: arXiv:1601.00881
    A matlab package is available from here

  16. Sparse approximation based on a random overcomplete basis
    Yoshinori Nakanishi-Ohno, Tomoyuki Obuchi, Masato Okada, Yoshiyuki Kabashima
    J. Stat. Mech. (2016) 063302 (1-30) IOP 
    arXiv:
    arXiv:1510.02189

  17. Learning probabilities from random observables in high dimensions: the maximum entropy distribution and others
    Tomoyuki Obuchi, Simona Cocco, Rémi Monasson
    J. Stat. Phys. 161(3) (2015) 598--632 JSP
    arXiv: arXiv:1503.02802

  18. Monte Carlo simulations of the three-dimensional XY spin glass focusing on chiral and spin order
    Tomoyuki Obuchi and Hikaru Kawamura
    Phys. Rev. B 87 (2013) 174438 (1-15) PRB
    arXiv: arXiv:1212.3804

  19. Dynamical singularities of glassy systems in a quantum quench
    Tomoyuki Obuchi and Kazutaka Takahashi
    Phys. Rev. E 86 (2012) 051125(1-6) PRE
    arXiv: arXiv:1208.2800

  20. Spin and chiral orderings of the antiferromagnetic XY model on the triangular lattice and their critical properties
    Tomoyuki Obuchi and Hikaru Kawamura
    J. Phys. Soc. Jpn. 81 (2012) 054003(1-9) JPSJ
    arXiv: arXiv:1202.1042

  21. Partition-function zeros of spherical spin glasses and their relevance to chaos
    Tomoyuki Obuchi and Kazutaka Takahashi
    J. Phys. A: Math. Theor. 45 (2012) 125003 (1-20) IOP
    arXiv: arXiv:1110.0942

  22. Statistical mechanical analysis of hierarchical random code ensemble in signal processing
    Tomoyuki Obuchi, Kazutaka Takahashi, and Koujin Takeda
    J. Phys. A: Math. Theor. 44 (2011) 085002(1-20) IOP
    arXiv: arXiv:1011.3722

  23. Replica symmetry breaking, complexity, and spin representation in the generalized random energy model
    Tomoyuki Obuchi, Kazutaka Takahashi, and Koujin Takeda
    J. Phys. A: Math. Theor. 43 (2010) 485004 (1-28) IOP
    [IOP Select] link
    arXiv: arXiv:1007.1531

  24. Distribution of partition function zeros for the ±J model on the Bethe lattice
    Yoshiki Matsuda, Markus Muller, Hideoshi Nishimori, Tomoyuki Obuchi and Antonello Scardicchio
    J. Phys. A: Math. Theor. 43 (2010) 285002 (1-20) IOP
    [Highlights of 2010] link
    arXiv: arXiv:1001.4873

  25. Weight space structure and analysis using a finite replica number in the Ising perceptron
    Tomoyuki Obuchi and Yoshiyuki Kabashima
    J. Stat. Mech. (2009) P12014(1-21) IOP
    arXiv: arXiv:0910.2281

  26. Complex Replica Zeros of \pm J Ising Spin Glass at Zero Temperature
    Tomoyuki Obuchi, Yoshiyuki Kabashima, and Hidetoshi Nishimori
    J. Phys. A: Math. Theor. 42 (2009) 075004(1-27) IOP
    [IOP Select]
    arXiv: arXiv:0809.2635

  27. Phase diagram of the p-spin interacting spin glass with ferromagnetic bias and a transverse field in the infinite-p limit
    Tomoyuki Obuchi, Hidetoshi Nishimori, and David Sherrington
    J. Phys. Soc. Jpn. 76 (2007) 054002(1-10) JPSJ
    arXiv: cond-mat/0611168

Proceedings (peer reviewed)

  1. Mean-field theory of graph neural networks in graph partitioning  
    Tatsuro Kawamoto, Masashi Tsubaki, Tomoyuki Obuchi
    Proceedings of NeurIPS2018
    Advances in Neural Information Processing Systems 31 (4361--4371) NeurIPS

    arXiv: arXiv:1810.11908

  2. Objective and efficient inference for couplings in neuronal networks  
    Yu Terada, Tomoyuki Obuchi, Takuya Isomura, Yoshiyuki Kabashima
    Proceedings of NeurIPS2018
    Advances in Neural Information Processing Systems 31 (4971--4980) NeurIPS

    arXiv: arXiv:1805.07061

  3. Approximate cross-validation formula for Bayesian linear regression 
    Yoshiyuki Kabashima, Tomoyuki Obuchi, and Makoto Uemura
    Proceedings of
    54th Annual Allerton Conference,
    DOI: 10.1109/ALLERTON.2016.7852286
    arXiv: arXiv:1610.07733

  4. Sampling approach to sparse approximation problem: determining degrees of freedom by simulated annealing 
    Tomoyuki Obuchi and Yoshiyuki Kabashima
    Proceedings of
    EUSIPCO 2016
    DOI: 10.1109/EUSIPCO.2016.7760448
    arXiv: arXiv:1603.01399

  5. Sparse approximation problem: how rapid simulated annealing succeeds and fails
    Tomoyuki Obuchi and Yoshiyuki Kabashima
    Proceedings of HD^3-2015

    J. Phys.: Conf. Ser. 699 (2016) 012017(1-12) IOP
    arXiv: arXiv:1601.01074

  6. Learning probability distributions from smooth observables and the maximum entropy principle: some remarks
    Tomoyuki Obuchi and Rémi Monasson
    Proceedings of STATPHYS-KOLKATA VIII
    J. Phys.: Conf. Ser. 638
    (2015) 012018(1-23) IOP

  7. Zeros of the partition function and dynamical singularities in spin-glass systems
    Kazutaka Takahashi and Tomoyuki Obuchi
    Proceedings of ICSG2013
    J. Phys.: Conf. Ser. 473 (2013) 012023(1-11) IOP
    arXiv: arXiv:1309.0076

  8. Zero-Temperature Complex Replica Zeros of the \pm J Ising Spin Glass on Mean-Field Systems and Beyond
    Tomoyuki Obuchi, Yoshiyuki Kabashima, Hidetoshi Nishimori, and Masayuki Ohzeki
    Proceedings of nanoPHYS'09
    Physica E 43, (2011) 786-789 Physica E
    arXiv: arXiv:1004.3118

Thesis

        Role of the Finite Replica Analysis in the Mean-Field Theory of Spin Glasses
       
Tomoyuki Obuchi
        Ph. D Thesis submitted in Tokyo Institute of Technology in 2010.
        arXiv: arXiv:1508.05225